Pith Number

pith:C6Q54UT6

pith:2009:C6Q54UT6WZ6QPVSB35QNX6DXML

not attested not anchored not stored refs pending

On the Failure of Fixed-Point Theorems for Chain-complete Lattices in the Effective Topos

Andrej Bauer

arxiv:0911.0068 v1 · 2009-10-31 · math.LO · math.CT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C6Q54UT6WZ6QPVSB35QNX6DXML}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:05:16.615082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17a1de527eb67d07d641df60dbf87762eb1f17362f6147576914273dfdf7c381

Aliases

arxiv: 0911.0068 · arxiv_version: 0911.0068v1 · doi: 10.48550/arxiv.0911.0068 · pith_short_12: C6Q54UT6WZ6Q · pith_short_16: C6Q54UT6WZ6QPVSB · pith_short_8: C6Q54UT6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/C6Q54UT6WZ6QPVSB35QNX6DXML \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 17a1de527eb67d07d641df60dbf87762eb1f17362f6147576914273dfdf7c381

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efe7aa27be799d3db75b43cf8d180e2f88fea5ddd3fe3cdf035dcc57f257169c",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2009-10-31T10:43:24Z",
    "title_canon_sha256": "11a16e6f8920f48e7ce51f4aef8aa2f371e43b0155f197c5e2c7c61987e77c8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0068",
    "kind": "arxiv",
    "version": 1
  }
}